• Title/Summary/Keyword: k-reducible

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Complete Reducibility of some Modules for a Generalized Kac Moody Lie Algebra

  • Kim, Wansoon
    • Journal of the Chungcheong Mathematical Society
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    • v.5 no.1
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    • pp.195-201
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    • 1992
  • Let G(A) denote a generalized Kac Moody Lie algebra associated to a symmetrizable generalized Cartan matrix A. In this paper, we study on representations of G(A). Highest weight modules and the category O are described. In the main theorem we show that some G(A) modules from the category O are completely reducible. Also a criterion for irreducibility of highest weight modules is obtained. This was proved in [3] for the case of Kac Moody Lie algebras.

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Computation of Energy Release Rates for Slender Beam through Recovery Analysis and Virtual Crack Closure Technique (차원 복원해석과 가상균열닫힘 기법을 이용한 종방향 균열을 가진 세장비가 큰 보의 에너지 해방률 계산)

  • Jang, Jun Hwan;Koo, Hoi-Min;Ahn, Sang Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.1
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    • pp.31-37
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    • 2017
  • In this paper, computation results of reducible modeling, stress recovery and energy release rate were compared with the results of VABS, Virtual Crack Closure Technique. The result of stress recovery analysis for 1-D model including the stiffness matrix is compared with stress results of three-dimensional 3-D FEM. Energy release rate of composite beam with longitudinal cracks is calculated and compare verifications of numerical analysis results of 3-D FEM and VABS. The procedure of calculating energy release rate through dimensional reduction and stress recovery is intended to be efficient and be utilized in the life-cycle of high-altitude uav's wing, wind blades and tilt rotor blade.

Effects of ${Er_2}{O_3}$ Addition on the Dielectric Properties of Non-reducible $BaTiO_3$-based X7R Dielectrics (${Er_2}{O_3}$첨가가 $BaTiO_3$계 내환원성 X7R 재질의 유전특성에 미치는 효과)

  • Park, Jae-Seong;Hwang, Jin-Hyeon;Han, Yeong-Ho
    • Korean Journal of Materials Research
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    • v.11 no.1
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    • pp.44-47
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    • 2001
  • Effects of $Er_2O_3$ addition on the dielectric properties of non-reducible $BaTi_3$-based X7R dielectrics with Ni electrode have been studied in reducing atmosphere. X7R with moderate temperature-dependence was developed after addition of $Er_2O_3$ with $MnO_2-MgO$; room-temperature dielectric constant and dissipation factor were >2900 and < 1.0%, respectively. The addition of $Er_2O_3$ greater than 3.0 mol% improved the temperature dependence of dielectric properties, but a significant decrease of the dielectric constant at room-temperature was observed. The TCC curves rebated clockwise with increasing MnO$_2$ content at a given additive system, 1.5 mol% $Er_2O_3$ and 2.0 mol% MgO.

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Hybrid Barriers of Iron and Modified-bentonite for the Remediation of Multi-contaminated Water (복합오염물질 제거를 위한 철과 개량 벤토나이트의 복합층에 관한 연구)

  • Cho, Hyun-Hee;Park, Jae-Woo
    • Journal of Korean Society on Water Environment
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    • v.20 no.5
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    • pp.512-519
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    • 2004
  • Hybrid barriers using reduction and immobilization were tested to remediate the groundwater contaminated with multi-pollutants in this study. Iron filings and HDTMA(hexadecyltrimethylammonium)-bentonite were simulated in columns to assess the performance of hybrid barriers for remediation of trichloroethylene(TCE)-contaminated water. TCE reduction rate for the mixture of iron filings and HDTMA-bentonite was about 7 times higher than that for iron filings, only suggesting the reduction of TCE was accelerated when HDTMA-bentonite was mixed with iron filings. TCE reduction rate for the two layers of iron and HDTMA-bentonite was nearly similar to that for iron filings alone, but the partition coefficient($K_d$) for the two layers was 4.5 times higher than for that iron filings only. TCE was immobilized in the first layer with HDTMA-bentonite, and then dechlorinated in the second layer with iron filings. HDTMA-bentonite may contribute to the increase in TCE concentration on iron surface so that more TCE can be reduced. Also, TCE removal in the hybrid barriers was not affected by chromate and naphthalene while the reduction rate of TCE with the co-existing contaminants by iron filings was significantly decreased. Significant TCE removal in this research indicates that the proposed hybrid barrier system has the potential to become the effective remediation alternative during the occurrence of oil shock. Also, if subsurface environments are contaminated with multi-pollutants that contain non-reducible compounds as well as reducible compounds such as TCE, the conventional reactive barriers cannot be applied to this subsurface environment, while the proposed hybrid system can be applied successfully.

Extraction Characteristics of Heavy Metals for Soil Washing of Mine Tailings-contaminated Soil according to Particle Size Distribution (토양세척공정에서 광미오염토양 입자크기에 따른 중금속 추출특성)

  • Kim, Joung-Dae
    • Applied Chemistry for Engineering
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    • v.19 no.1
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    • pp.98-104
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    • 2008
  • This research was performed to evaluate the extraction characteristics of heavy metals for soil washing of mine tailings-contaminated soil according to particle size distribution and the chemical distributional existence of the metals. As the soil particle size was decreased, the extracted concentrations of heavy metals was increased except Fe and Mn. Most of all heavy metals were extracted within 6 h by soil washing with 0.05 M EDTA. Extraction efficiency of metals was decreased for Pb, Cu, and Zn with decreasing of particle size. Significant difference was not observed in extraction efficiency for Cd according to particle size distribution. Extraction efficiency for Cd was the highest as 86~91%, while the lowest as 5~14% for Fe. Most metals of the soil without soil washing was distributed as reducible, oxidizable, and residual fractions. Pb, Zn, and Cd existed as reducible (Fe/Mn oxide) and residual fractions and Cu existed as oxidizable and residual fractions after soil washing treatment with 0.05 M EDTA. As the soil particle size was decreased, residual fraction was increased for Pb and Cu. About 90% of reducible fraction in Pb, Zn, and Cd was removed by soil washing with 0.05 M EDTA. As the results, it was founded that soil particle size was the important parameter to effect on distributional fraction and extraction efficiency of metals in mine tailings-contaminated soil.

A Study on the Pollution of Heavy Metals in Soils and Dusts in Satellite Cities of the Seoul Capital Area (수도권 위성도시의 토양과 분진의 중금속 오염에 대한 연구)

  • Chon, Hyo-Taek;Ahn, Joo-Sung
    • Economic and Environmental Geology
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    • v.29 no.1
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    • pp.87-103
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    • 1996
  • The purposes of this research are to investigate the pollution level of heavy metals due to the urbanization and industrialization in the satellite cities of Seoul, and to assess the chemical species and the sources of heavy metals in highly contaminated soils and dusts. Soil and dust samples were collected from the Uijeongbu and the Koyang cities, which are northern and the northwestern satellite cities of Seoul metropolitan city, respectively. Relatively high pH values($6.3{\sim}9.9$) were found in roadside soils compared with agricultural and forest soils. Difference in pH values of soils was not identified between before and after rainy seasons. In spite of no specific pollution sources in the above cities, the contents of Cu, Pb, and Zn in soils and dusts were much higher than the world average contents. The metal levels in dusts were higher than those in soils, but the metal concentration in dusts was significantly decreased after rainy season. Pollution index was high(> 1.0) in the areas of heavy traffic, industrial complex, and city centres. There is an appreciable proportion of total Zn in exchangeable/water-acid soluble fraction. Copper is predominantly associated with reducible and oxidizable phases, whereas Pb is largely in reducible association. It is concluded that the mobility and bioavailability of metals are high in the order of Zn >> Cu > Pb, on the basis of characteristic particle morphology and chemical composition, Pb-containing particles are originated probably from the automobile exhaust, particularly in heavy traffic areas. The metallic forms and iron-oxide associated forms of Cr, Ni, Cu, Zn, and Pb can be assessed as industrial origin.

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A Study on Stress Recovery Analysis of Dimensionally Reducible Composite Beam Structure with High Aspect Ratio using VABS (VABS를 이용한 높은 세장비를 가진 복합재료 보 구조의 차원축소 및 응력복원 해석기법에 대한 연구)

  • Ahn, Sang Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.5
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    • pp.405-411
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    • 2016
  • This paper presented the theory related to a two dimensional linear cross-sectional analysis, recovery relationship and a one-dimensional nonlinear beam analysis for composite beam with initial twist and high aspect ratio. Using VABS including related theory, preceding research data of the composite wing structure has been modeled and compared. Cross-sectional analysis was performed and 1-D beam was modeled at cutting point including all the details of real geometry and material. The 3-D strain distribution and margin of safety at recovery point was calculated based on the global behavior of the 1-D beam analysis and visualize numerical results.

Functional Programs as Process Networks using Program-derived Combinators (프로그램유도 컴비네이터를 이용하는 함수프로그램의 포로세스망 구성)

  • Sin, Seung-Cheol;Yu, Won-Hui
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.3
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    • pp.478-492
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    • 1996
  • For parallel implementations of functional programs without concurrent primitives, the λ-calculus encodings have been introduced. A functional program may be trans for med into a process network using process calculiby the λ-calculus encoding and there sult of a program can be obtained by a deal of communication actions in it's process network. But the λ-calculus encodings cause too many communication actions even in constant expressions. This paper shows the encoding for a combinator program without concurrency primitives which can combine the graph reduction and the process-net reduction using computable processes,'chores'. A 'chore' may have graph reduction functions for primitive operations of constants for which local graph reduction may be possible, and be encoded from a 'G-reducible' subexpression which is obtained by an annotation and trans for mati-on for a combinator program, assuring that it does not include any combinator application. Also, we show that a process network with chores raises less commu-nication actions than one without chores.

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Transfer of Arsenic and Heavy Metals from Soils to Rice Plant under Different Drainage Conditions (논토양 배수조건에 따른 비소 및 중금속의 용출 및 벼 전이특성)

  • Koh, Il-Ha;Kim, Jungeun;Kim, Gi Suk;Ji, Won Hyun
    • Journal of Soil and Groundwater Environment
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    • v.22 no.6
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    • pp.12-21
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    • 2017
  • A pot experiment was conducted to investigate the transfer of As and cationic heavy metals (Fe, Mn, Zn, Cd and Pb) from soil to rice plant in soil condition with submerged and drained. During the ninety-day monitoring period for soil solution, solubility of reducible elements such as As, Fe and Mn in submerged condition were higher than that of Zn. On the contrary, concentration of Zn in drained condition was higher than that of reducible elements. The concentration of As, Cd, Pb and Zn in rice plant (root, stem, leaf and grain) showed similar pattern with soil solution. The As concentration in each part of rice plant, which cultivated in drained condition, measured 56%~94% lower than those in submerged condition. However, the contents of cationic heavy metals (Cd, Pb and Zn) were represented the opposite result with As. These results are due to mobility of As and cationic heavy metals under different soil drainage conditions which represent oxidation and reduction. Thus soil drainage control can be used as acceptable passive treatment methods to reduce transfer of inorganic contaminants from soil to rice plant. However more detailed examination on soil condition conversion is needed, because yield of rice was decreased when it cultivated in drained condition only. It also needed when soil is contaminated by As and cationic heavy metal because single drainage condition cannot reduce transfer of both kinds of contaminants all.

Efficient Signature Schemes from R-LWE

  • Wang, Ting;Yu, Jianping;Zhang, Peng;Zhang, Yong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.8
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    • pp.3911-3924
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    • 2016
  • Compared to the classical cryptography, lattice-based cryptography is more secure, flexible and simple, and it is believed to be secure against quantum computers. In this paper, an efficient signature scheme is proposed from the ring learning with errors (R-LWE), which avoids sampling from discrete Gaussians and has the characteristics of the much simpler description etc. Then, the scheme is implemented in C/C++ and makes a comparison with the RSA signature scheme in detail. Additionally, a linearly homomorphic signature scheme without trapdoor is proposed from the R-LWE assumption. The security of the above two schemes are reducible to the worst-case hardness of shortest vectors on ideal lattices. The security analyses indicate the proposed schemes are unforgeable under chosen message attack model, and the efficiency analyses also show that the above schemes are much more efficient than other correlative signature schemes.